We obtain a new Taylor's formula in terms of the order subdifferential of a function from to . As its applications in optimization problems, we build order sufficient optimality conditions of this kind of functions and order necessary conditions for strongly -quasiconvex functions.
"Positive Definiteness of High-Order Subdifferential and High-Order Optimality Conditions in Vector Optimization Problems." Abstr. Appl. Anal. 2013 (SI07) 1 - 6, 2013. https://doi.org/10.1155/2013/678154